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Finding the Fourth Proportional to 268.49, 402.72 and 106.06

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Solution

The fourth proportional to 268.49, 402.72 and 106.06 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.49 : 402.72 = 106.06 : x
  2. Step 2: Convert to fraction form
    268.49/402.72 = 106.06/x
  3. Step 3: Cross multiply
    268.49x = 402.72 × 106.06
  4. Step 4: Simplify right side
    268.49x = 42,712.43
  5. Step 5: Solve for x
    x = 42,712.43/268.49
  6. Step 6: Final answer
    x = 159.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.